Problem10479--ABC103 —— B - String Rotation

10479: ABC103 —— B - String Rotation

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Time Limit : 1.000 sec  Memory Limit : 512 MiB

Description

You are given string $S$ and $T$ consisting of lowercase English letters.

Determine if $S$ equals $T$ after rotation.

That is, determine if $S$ equals $T$ after the following operation is performed some number of times:

Operation: Let $S = S_1 S_2 ... S_{|S|}$. Change $S$ to $S_{|S|} S_1 S_2 ... S_{|S|-1}$.

Here, $|X|$ denotes the length of the string $X$.

Input

Input is given from Standard Input in the following format:

```
$S$
$T$
```

Output

If $S$ equals $T$ after rotation, print `Yes`; if it does not, print `No`.

Constraints

-   $2 \leq |S| \leq 100$
-   $|S| = |T|$
-   $S$ and $T$ consist of lowercase English letters.

Sample 1 Input

kyoto
tokyo

Sample 1 Output

Yes
  • In the first operation, kyoto becomes okyot.
  • In the second operation, okyot becomes tokyo.

Sample 2 Input

abc
arc

Sample 2 Output

No
abc does not equal arc after any number of operations.

Sample 3 Input

aaaaaaaaaaaaaaab
aaaaaaaaaaaaaaab

Sample 3 Output

Yes

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